Q. 143.5( 21 Votes )

# In figure, PA, QB, RC and SD are all perpendiculars to a line ⎩, AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm. Find PQ, QR and RS.

Given,

AB = 6 cm, BC = 9 cm, CD = 12 cm and SP = 36 cm

Also,

PA, QB, RC and SD are all perpendiculars to line .

PA:QB:RS = AB:BC:CD

= 6:9:12

Let PQ = 6x, QR = 9x and RS = 12x

Since, length of PS = 36 km

PQ + QR + RS = 36

6x + 9x + 12x = 36

27x = 36

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